论文标题
宾厄姆流中的混合有限元素
Mixed finite elements for Bingham flow in a pipe
论文作者
论文摘要
我们考虑了圆柱管中粘性塑料宾汉流的混合有限元近似值。引入了新颖的先验和后验误差分析，该分析基于标准化Lagrange乘数的离散网格依赖性规范。这允许证明各种有限元素的稳定性。提出了数值示例，以支持该理论并证明适应性网状的精致。
We consider mixed finite element approximations of viscous, plastic Bingham flow in a cylindrical pipe. A novel a priori and a posteriori error analysis is introduced which is based on a discrete mesh dependent norm for the normalized Lagrange multiplier. This allows proving stability for various conforming finite elements. Numerical examples are presented to support the theory and to demonstrate adaptive mesh refinement.
